CFA

This draws on Matt’s code for reading the data and the like.

Reading in the Data

We read in the datasets created using the pilot0_data_cleaning.Rmd file.

We now drop the “nrc” columns because we won’t use them.

Item Response Theory Analysis

This section will start by closely following Mair (2018) Chapter 4.

Dimensionality

## $prlin_list
## $prlin_list$Belief
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.772 
## Number of iterations: 23 
## 
## Eigenvalues: 3.156 1.404 
## 
## 
## $prlin_list$Intrinsic
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.643 
## Number of iterations: 15 
## 
## Eigenvalues: 4.343 0.655 
## 
## 
## $prlin_list$Extrinsic
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.731 
## Number of iterations: 13 
## 
## Eigenvalues: 2.956 1.347 
## 
## 
## $prlin_list$Utility
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.671 
## Number of iterations: 10 
## 
## Eigenvalues: 4.265 1.005 
## 
## 
## $prlin_list$Attain
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.723 
## Number of iterations: 15 
## 
## Eigenvalues: 2.574 1.298 
## 
## 
## $prlin_list$Interest
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.64 
## Number of iterations: 10 
## 
## Eigenvalues: 5.515 0.963

## $prlin_list
## $prlin_list$AcadSC
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.738 
## Number of iterations: 21 
## 
## Eigenvalues: 3.569 1.146 
## 
## 
## $prlin_list$Attain
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.713 
## Number of iterations: 12 
## 
## Eigenvalues: 2.521 1.503 
## 
## 
## $prlin_list$StatSC
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.697 
## Number of iterations: 37 
## 
## Eigenvalues: 4.573 0.881 
## 
## 
## $prlin_list$Difficult
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.7 
## Number of iterations: 34 
## 
## Eigenvalues: 3.234 0.97 
## 
## 
## $prlin_list$Expectancy
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.76 
## Number of iterations: 35 
## 
## Eigenvalues: 4.254 1.026 
## 
## 
## $prlin_list$Cost
## Call:
## Gifi::princals(data = dat[, grepl(scale.names[i], names(dat))], 
##     knots = knotsexp, degrees = 1)
## 
## Loss value: 0.671 
## Number of iterations: 51 
## 
## Eigenvalues: 3.685 0.919

The following items should be dropped based on the results:

  • Group 1
    • Belief: two groups
      • 2rc, 4rc, 5rc, 10rc
      • 1, 3rc, 6, 7, 8, 9
    • Intrinsic: three groups
      • 3, 5, 7
      • 4
      • 1, 2, 6
    • Extrinsic: three groups
      • 6, 7, 8
      • 1, 4, 5
      • 2, 3
    • Utility: three groups
      • 1, 3rc, 5rc, 8rc
      • 2, 4, 6, 7
    • Attain: perhaps three groups
      • 1, 2, 3
      • 4
      • 5, 6, 7
    • Interest: two groups
      • 2, 4, 6, 9
      • 1rc, 3rc, 5, 7rc, 8rc
  • Group 2
    • AcadSC: two groups
      • 1, 2, 3, 4, 6
      • 5rc, 7rc, 8rc, 9rc
    • Attain: perhaps three groups
      • 1, 2, 3
      • 4
      • 5, 6, 7
    • StatSC: one group
    • Difficulty: perhaps two groups
      • 1rc, 2, 3, 6rc, 7rc
      • 4rc, 5
    • Expectancy: two groups
      • 1rc, 6rc, 11rc
      • 2, 3, 4, 5, 7, 8, 9, 10
    • Cost: three groups
      • 5
      • 7rc
      • 1, 2, 3rc, 4rc, 6
## [1] "===================================="
## [1] "Belief"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## Warning in ltm::gpcm(dat.tmp): Not successful convergence: 127.
## [1] "Belief: GPCM preferred based on LR test (to the PCM)."
## [1] "Belief: AIC for PCM = 39311.7206032831"
## [1] "Belief: AIC for GPCM = 37065.202619307"
## [1] "Belief: AIC for GRM = 36752.7727959302"
## [1] "GRM preferred based on AIC"
## [1] "Belief: BIC for PCM = 39615.7086214914"
## [1] "Belief: BIC for GPCM = 37419.8553072166"
## [1] "Belief: BIC for GRM = 37107.4254838398"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Intrinsic"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Intrinsic: GPCM preferred based on LR test (to the PCM)."
## [1] "Intrinsic: AIC for PCM = 25231.3013600355"
## [1] "Intrinsic: AIC for GPCM = 25189.8952601719"
## [1] "Intrinsic: AIC for GRM = 24973.7007361583"
## [1] "GRM preferred based on AIC"
## [1] "Intrinsic: BIC for PCM = 25444.0929727812"
## [1] "Intrinsic: BIC for GPCM = 25438.1521417086"
## [1] "Intrinsic: BIC for GRM = 25221.957617695"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Extrinsic"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Extrinsic: GPCM preferred based on LR test (to the PCM)."
## [1] "Extrinsic: AIC for PCM = 30955.0339362373"
## [1] "Extrinsic: AIC for GPCM = 30160.0033902848"
## [1] "Extrinsic: AIC for GRM = 30108.1052547675"
## [1] "GRM preferred based on AIC"
## [1] "Extrinsic: BIC for PCM = 31198.2243508039"
## [1] "Extrinsic: BIC for GPCM = 30443.7255406125"
## [1] "Extrinsic: BIC for GRM = 30391.8274050952"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Utility"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Utility: GPCM preferred based on LR test (to the PCM)."
## [1] "Utility: AIC for PCM = 28411.2428029154"
## [1] "Utility: AIC for GPCM = 28300.662281937"
## [1] "Utility: AIC for GRM = 27900.2648929763"
## [1] "GRM preferred based on AIC"
## [1] "Utility: BIC for PCM = 28654.433217482"
## [1] "Utility: BIC for GPCM = 28584.3844322646"
## [1] "Utility: BIC for GRM = 28183.987043304"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Attain"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Attain: GPCM preferred based on LR test (to the PCM)."
## [1] "Attain: AIC for PCM = 28845.8115121386"
## [1] "Attain: AIC for GPCM = 27921.2078403712"
## [1] "Attain: AIC for GRM = 27819.5287214923"
## [1] "GRM preferred based on AIC"
## [1] "Attain: BIC for PCM = 29058.6031248843"
## [1] "Attain: BIC for GPCM = 28169.4647219079"
## [1] "Attain: BIC for GRM = 28067.785603029"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Interest"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Interest: GPCM preferred based on LR test (to the PCM)."
## [1] "Interest: AIC for PCM = 33196.855729489"
## [1] "Interest: AIC for GPCM = 32920.7951625924"
## [1] "Interest: AIC for GRM = 32356.0605503125"
## [1] "GRM preferred based on AIC"
## [1] "Interest: BIC for PCM = 33470.4449458764"
## [1] "Interest: BIC for GPCM = 33239.982581711"
## [1] "Interest: BIC for GRM = 32675.2479694311"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "AcadSC"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## Warning in ltm::gpcm(dat.tmp): Not successful convergence: 105.
## [1] "AcadSC: GPCM preferred based on LR test (to the PCM)."
## [1] "AcadSC: AIC for PCM = 28999.6612904891"
## [1] "AcadSC: AIC for GPCM = 28592.1363435735"
## [1] "AcadSC: AIC for GRM = 28318.0139962465"
## [1] "GRM preferred based on AIC"
## [1] "AcadSC: BIC for PCM = 29273.3885555243"
## [1] "AcadSC: BIC for GPCM = 28911.484819448"
## [1] "AcadSC: BIC for GRM = 28637.3624721209"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Attain"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Attain: GPCM preferred based on LR test (to the PCM)."
## [1] "Attain: AIC for PCM = 28752.4413562791"
## [1] "Attain: AIC for GPCM = 27592.5587563126"
## [1] "Attain: AIC for GRM = 27523.0487058624"
## [1] "GRM preferred based on AIC"
## [1] "Attain: BIC for PCM = 28965.3403401954"
## [1] "Attain: BIC for GPCM = 27840.9409042149"
## [1] "Attain: BIC for GRM = 27771.4308537647"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "StatSC"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "StatSC: GPCM preferred based on LR test (to the PCM)."
## [1] "StatSC: AIC for PCM = 32013.0589225334"
## [1] "StatSC: AIC for GPCM = 31717.1834206367"
## [1] "StatSC: AIC for GRM = 31504.6465825815"
## [1] "GRM preferred based on AIC"
## [1] "StatSC: BIC for PCM = 32286.7861875687"
## [1] "StatSC: BIC for GPCM = 32036.5318965111"
## [1] "StatSC: BIC for GRM = 31823.9950584559"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Difficult"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Difficult: GPCM preferred based on LR test (to the PCM)."
## [1] "Difficult: AIC for PCM = 26567.1562385134"
## [1] "Difficult: AIC for GPCM = 26114.158648926"
## [1] "Difficult: AIC for GRM = 25982.2337043468"
## [1] "GRM preferred based on AIC"
## [1] "Difficult: BIC for PCM = 26780.0552224296"
## [1] "Difficult: BIC for GPCM = 26362.5407968284"
## [1] "Difficult: BIC for GRM = 26230.6158522491"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Expectancy"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Expectancy: GPCM preferred based on LR test (to the PCM)."
## [1] "Expectancy: AIC for PCM = 38569.7468932551"
## [1] "Expectancy: AIC for GPCM = 38126.8138233815"
## [1] "Expectancy: AIC for GRM = 37798.4546486401"
## [1] "GRM preferred based on AIC"
## [1] "Expectancy: BIC for PCM = 38904.3024394093"
## [1] "Expectancy: BIC for GPCM = 38517.128627228"
## [1] "Expectancy: BIC for GRM = 38188.7694524866"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
## [1] "===================================="
## [1] "Cost"
## [1] "Fitting GRM"
## [1] "Fitting PCM"
## [1] "Fitting GPCM"
## [1] "Cost: GPCM preferred based on LR test (to the PCM)."
## [1] "Cost: AIC for PCM = 26686.3887450126"
## [1] "Cost: AIC for GPCM = 26252.2728510383"
## [1] "Cost: AIC for GRM = 26046.7487960303"
## [1] "GRM preferred based on AIC"
## [1] "Cost: BIC for PCM = 26899.2877289289"
## [1] "Cost: BIC for GPCM = 26500.6549989407"
## [1] "Cost: BIC for GRM = 26295.1309439327"
## [1] "GRM preferred based on BIC"
## [1] "GRM preferred based on AIC and BIC"
item outfit z.outfit infit z.infit S_X2 df.S_X2 RMSEA.S_X2 p.S_X2
Belief_1 0.9083373 -1.6936425 0.8745332 -2.5503835 149.05323 107 0.0183202 0.0045209
Belief_2rc 0.9998365 0.0055966 0.9997730 0.0036146 143.97737 146 0.0000000 0.5318197
Belief_3rc 1.1016261 1.6802583 0.9672486 -0.6376904 130.22594 103 0.0150243 0.0361576
Belief_4rc 1.0103483 0.3283426 1.0054998 0.1805490 193.54223 132 0.0199536 0.0003893
Belief_5rc 1.0001663 0.0162170 0.9995149 -0.0029613 181.06521 151 0.0130396 0.0479821
Belief_6 0.9517347 -0.8175157 0.8817963 -2.1176724 120.13443 93 0.0157848 0.0306473
Belief_7 0.8821675 -1.9135571 0.8761257 -2.1442445 90.87173 85 0.0076806 0.3116276
Belief_8 0.9271236 -1.0637218 0.9314208 -1.0228932 133.92857 90 0.0204161 0.0018454
Belief_9 0.8536343 -2.6464732 0.8715846 -2.4058504 126.87179 103 0.0140684 0.0553164
Belief_10rc 0.9978476 -0.0618087 0.9977606 -0.0647792 198.72471 149 0.0168816 0.0040424
Intrinsic_1 0.9560248 -0.7748749 0.8904845 -2.3628270 96.60992 99 0.0000000 0.5492416
Intrinsic_2 0.8773300 -2.3189473 0.8963590 -2.2246359 130.35669 110 0.0125713 0.0900895
Intrinsic_3 0.8293959 -3.3139106 0.8543568 -3.0272872 83.44789 89 0.0000000 0.6461220
Intrinsic_4 0.8810396 -2.3017103 0.8827254 -2.5082766 114.62498 98 0.0120362 0.1203374
Intrinsic_5 0.8984186 -2.0188935 0.8867552 -2.4824198 122.16802 96 0.0152571 0.0369652
Intrinsic_6 0.8797606 -2.3087878 0.8944218 -2.5289181 111.40346 100 0.0098682 0.2048798
Intrinsic_7 0.8859903 -2.0757220 0.8911516 -2.2235199 134.99232 103 0.0162864 0.0188503
Extrinsic_1 0.8102723 -3.7181299 0.8396056 -3.4335708 120.65046 111 0.0086166 0.2500693
Extrinsic_2 0.9176694 -1.6530776 0.9458213 -1.1478379 214.06011 147 0.0197376 0.0002557
Extrinsic_3 0.9184093 -1.5040334 0.9569747 -0.8523050 140.16969 139 0.0026807 0.4562335
Extrinsic_4 0.8136503 -3.8517401 0.7971410 -4.5651554 128.64084 108 0.0127754 0.0855815
Extrinsic_5 0.6937860 -6.1001272 0.6995595 -6.7074287 119.82509 96 0.0145580 0.0502953
Extrinsic_6 0.9338412 -1.7504248 0.9404056 -1.6590664 128.96770 121 0.0074989 0.2932223
Extrinsic_7 0.9427514 -1.4531009 0.9600178 -1.0877258 165.72214 141 0.0122364 0.0759066
Extrinsic_8 0.9136457 -1.6032809 0.9561762 -0.8368909 178.45339 120 0.0203956 0.0004297
Utility_1 0.8933819 -1.8910613 0.8931276 -2.1368886 123.45723 102 0.0134032 0.0729471
Utility_2 1.0165066 0.3158584 0.9415052 -1.1704696 114.53494 121 0.0000000 0.6480886
Utility_3rc 0.9347521 -0.9837964 0.8936473 -2.0546240 111.32986 96 0.0116776 0.1356840
Utility_4 0.8987338 -1.7410066 0.8785894 -2.2526897 128.46445 99 0.0159424 0.0248519
Utility_5rc 1.3782258 5.6383219 1.0128660 0.2673682 125.83880 109 0.0114859 0.1289980
Utility_6 0.9682190 -0.5777702 0.9456005 -1.0904806 130.19154 114 0.0110132 0.1425248
Utility_7 0.9817641 -0.3558544 0.9509363 -1.0735685 116.08069 119 0.0000000 0.5586237
Utility_8rc 1.0246479 0.4043017 0.9626254 -0.7324305 130.12121 108 0.0132256 0.0724465
Attain_1rc 0.9611892 -0.9860154 0.9577044 -1.0949880 123.93309 114 0.0086260 0.2471446
Attain_2rc 0.7812977 -4.8981223 0.7992143 -5.3131756 108.48518 103 0.0067437 0.3365643
Attain_3rc 0.7287467 -5.0214768 0.7143009 -6.0456291 103.43563 97 0.0075272 0.3085941
Attain_4 0.8194747 -4.2361412 0.8314721 -4.1628449 102.92532 105 0.0000000 0.5390414
Attain_5 0.9505666 -0.7909762 0.9571279 -0.7253576 159.86204 118 0.0174057 0.0062325
Attain_6 0.9229012 -1.9427080 0.9269244 -1.9389174 115.11498 120 0.0000000 0.6089226
Attain_7 0.9976777 -0.0668475 0.9938178 -0.1952460 176.19524 142 0.0143404 0.0271330
Interest_1rc 1.0426400 0.8422140 1.0067271 0.1710960 184.18455 155 0.0126804 0.0546919
Interest_2 0.9307994 -1.2323996 0.9161723 -1.8322180 124.11891 120 0.0054140 0.3798707
Interest_3rc 0.9909853 -0.1237327 0.9473488 -1.1154879 112.86304 112 0.0025652 0.4593582
Interest_4 0.9509119 -0.9623967 0.9351820 -1.4578056 139.53833 132 0.0069835 0.3098566
Interest_5 0.7997963 -1.7978818 0.8472844 -3.2910023 112.13000 101 0.0097008 0.2111116
Interest_6 0.9879636 -0.2115414 0.9529608 -1.0098010 182.97559 126 0.0196508 0.0006921
Interest_7rc 1.4446757 7.5886167 1.1750784 3.8081690 268.30384 147 0.0265461 0.0000000
Interest_8rc 1.2307166 3.8484623 0.9810139 -0.4144565 157.56207 145 0.0086014 0.2247438
Interest_9 0.9620632 -0.7434025 0.9526698 -1.0939677 135.88219 134 0.0034634 0.4383596
item outfit z.outfit infit z.infit S_X2 df.S_X2 RMSEA.S_X2 p.S_X2
AcadSC_1 1.0135368 0.1483109 0.9724579 -0.2364549 102.51773 61 0.0240779 0.0006971
AcadSC_2 0.9422364 -1.0829594 0.9419922 -1.1310974 77.82917 84 0.0000000 0.6687593
AcadSC_3 0.9293060 -1.0687019 0.9498574 -0.7703811 74.24581 72 0.0051545 0.4048978
AcadSC_4 0.9197887 -1.4728625 0.9321519 -1.2918976 80.72873 86 0.0000000 0.6403239
AcadSC_5rc 0.9996524 0.0068842 0.9584833 -1.0370712 106.47552 101 0.0067954 0.3353357
AcadSC_6 0.8905609 -1.5702298 0.9373729 -0.9589105 95.33037 78 0.0137570 0.0886976
AcadSC_7rc 0.8948377 -1.5374508 0.8939398 -1.8452567 73.69678 74 0.0000000 0.4880755
AcadSC_8rc 0.9574289 -1.2357586 0.9596394 -1.1942121 145.52925 109 0.0168956 0.0111361
AcadSC_9rc 0.8272627 -2.0824669 0.9057011 -1.4356420 88.62651 70 0.0150551 0.0657570
Attain_1rc 0.9634807 -0.9303761 0.9621610 -0.9799001 123.77115 110 0.0103265 0.1744242
Attain_2rc 0.8385981 -3.8975958 0.8460861 -4.2595309 116.65711 100 0.0119115 0.1220743
Attain_3rc 0.6005479 -8.1699974 0.6337194 -8.3616910 95.45302 88 0.0084936 0.2753849
Attain_4 0.8401770 -3.6078193 0.8569057 -3.3285562 124.71324 103 0.0134002 0.0716446
Attain_5 0.9401552 -0.9877468 0.9608592 -0.6674221 106.34218 105 0.0032997 0.4450396
Attain_6 0.8723513 -3.0445502 0.8842693 -2.9631540 118.49649 111 0.0075846 0.2957209
Attain_7 0.9997867 0.0023717 0.9996636 -0.0018577 166.39507 143 0.0118048 0.0879748
StatSC_1 0.9469441 -1.0050758 0.9476705 -1.1032146 121.36563 122 0.0000000 0.4991892
StatSC_2 0.7898828 -4.2473277 0.7966599 -4.5179768 100.93881 102 0.0000000 0.5110969
StatSC_3 0.8733246 -2.1641293 0.9367211 -1.1220970 147.51844 118 0.0145973 0.0340915
StatSC_4rc 0.7809108 -3.7154255 0.8108177 -4.3623962 108.43566 100 0.0084767 0.2652186
StatSC_5rc 0.8486758 -2.5504583 0.9121291 -1.7634856 134.04473 116 0.0115110 0.1206897
StatSC_6 0.9352988 -1.2699613 0.9627186 -0.8021607 138.38401 144 0.0000000 0.6163476
StatSC_7rc 0.8968812 -2.2054105 0.8760044 -2.9107588 115.21881 110 0.0063570 0.3478142
StatSC_8rc 0.9031984 -1.9813380 0.9045994 -2.2687630 120.03544 119 0.0027224 0.4561557
StatSC_9rc 0.9056372 -1.8125412 0.9636489 -0.7427572 167.93364 130 0.0157655 0.0140235
Difficult_1rc 0.8994795 -1.7972848 0.9117084 -1.7285947 132.16610 93 0.0189400 0.0047567
Difficult_2 0.9392016 -1.5293383 0.9372037 -1.6303509 118.41825 105 0.0104332 0.1749557
Difficult_3 0.6873437 -5.5397552 0.7176398 -6.8464315 103.18080 79 0.0161468 0.0352830
Difficult_4rc 0.9191751 -1.7225404 0.9485975 -1.1452820 121.70413 110 0.0095200 0.2097455
Difficult_5 0.9376760 -1.5712326 0.9446255 -1.4634357 134.41535 125 0.0080099 0.2666179
Difficult_6rc 0.8459655 -3.6540789 0.8630491 -3.4127017 113.40772 93 0.0136717 0.0739260
Difficult_7rc 0.7871466 -3.6531589 0.8125721 -4.0539385 91.23919 82 0.0097966 0.2273409
Expectancy_1rc 0.9749908 -0.5464644 0.9220012 -1.9514578 155.18526 130 0.0128460 0.0652863
Expectancy_2 0.9917171 -0.1204180 0.9678448 -0.5505685 94.61783 104 0.0000000 0.7338813
Expectancy_3 0.8292210 -2.8574838 0.9021057 -1.6023107 83.21327 85 0.0000000 0.5345681
Expectancy_4 0.9332060 -1.1141467 0.9484059 -0.8738699 93.26605 100 0.0000000 0.6699801
Expectancy_5 0.9300896 -1.5991827 0.9277239 -1.7426933 113.32235 122 0.0000000 0.7006677
Expectancy_6rc 0.9660973 -0.8624339 0.9514977 -1.2911414 162.87970 140 0.0117985 0.0903571
Expectancy_7 0.9949045 -0.0957580 0.9643615 -0.8169652 152.14021 138 0.0093423 0.1939304
Expectancy_8 0.9585065 -0.6927004 0.9448335 -0.9941490 126.17388 112 0.0103825 0.1700656
Expectancy_9 0.9404279 -1.1441411 0.9155781 -1.7568315 98.97153 115 0.0000000 0.8567663
Expectancy_10 0.8878383 -1.7358686 0.9350613 -1.0862907 146.79025 122 0.0131561 0.0626705
Expectancy_11rc 1.0452101 1.0077141 0.9996779 0.0058950 141.78317 134 0.0070338 0.3060521
Cost_1 0.6401537 -7.0811540 0.6714079 -7.3641188 80.85900 77 0.0065337 0.3596280
Cost_2 0.8242000 -3.4187942 0.8334123 -3.3781879 75.55022 78 0.0000000 0.5575190
Cost_3rc 1.0022898 0.0683396 0.9781998 -0.5271049 111.76055 114 0.0000000 0.5418325
Cost_4rc 0.9516851 -1.0803802 0.9293816 -1.6501624 108.05241 108 0.0006429 0.4804817
Cost_5rc 0.9825171 -0.4017883 0.9504320 -1.2890030 131.57313 124 0.0072126 0.3037737
Cost_6 0.9240229 -1.5857455 0.9171237 -1.8623706 110.32199 99 0.0098698 0.2053086
Cost_7rc 0.9313860 -1.5299768 0.9531597 -1.1592159 114.98325 128 0.0000000 0.7883876
item outfit z.outfit infit z.infit S_X2 df.S_X2 RMSEA.S_X2 p.S_X2
Belief_1 0.9069039 -1.7200545 0.8740829 -2.5593252 90.10841 71 0.0151602 0.0625662
Belief_3rc 1.1083230 1.7928611 0.9691768 -0.5999676 85.19639 73 0.0119447 0.1556350
Belief_6 0.9473761 -0.8961687 0.8774409 -2.2029555 86.61001 64 0.0173693 0.0314704
Belief_7 0.8720189 -2.0925514 0.8738243 -2.1910866 77.89723 62 0.0147974 0.0838164
Belief_8 0.9219549 -1.1443943 0.9314873 -1.0232153 66.59681 68 0.0000000 0.5254573
Belief_9 0.8565927 -2.5902785 0.8762626 -2.3148009 80.03083 70 0.0110622 0.1932216
Intrinsic_1 0.9560248 -0.7748749 0.8904845 -2.3628270 96.60992 99 0.0000000 0.5492416
Intrinsic_2 0.8773300 -2.3189473 0.8963590 -2.2246359 130.35669 110 0.0125713 0.0900895
Intrinsic_3 0.8293959 -3.3139106 0.8543568 -3.0272872 83.44789 89 0.0000000 0.6461220
Intrinsic_4 0.8810396 -2.3017103 0.8827254 -2.5082766 114.62498 98 0.0120362 0.1203374
Intrinsic_5 0.8984186 -2.0188935 0.8867552 -2.4824198 122.16802 96 0.0152571 0.0369652
Intrinsic_6 0.8797606 -2.3087878 0.8944218 -2.5289181 111.40346 100 0.0098682 0.2048798
Intrinsic_7 0.8859903 -2.0757220 0.8911516 -2.2235199 134.99232 103 0.0162864 0.0188503
Extrinsic_1 0.7823215 -4.3403026 0.8270469 -3.7090091 128.48231 80 0.0227493 0.0004777
Extrinsic_4 0.7884206 -4.4699574 0.7795447 -5.0029897 95.55652 78 0.0138642 0.0861812
Extrinsic_5 0.6867238 -6.4794078 0.6927442 -6.9128231 129.37786 73 0.0256811 0.0000536
Extrinsic_6 0.9192314 -2.1107833 0.9284970 -1.9763518 104.87774 94 0.0099409 0.2081531
Extrinsic_7 0.9459849 -1.3553161 0.9589658 -1.1120190 138.82906 109 0.0152872 0.0283908
Extrinsic_8 0.9066458 -1.7174156 0.9530168 -0.8965420 138.49241 95 0.0197727 0.0024114
Utility_1 0.8933819 -1.8910613 0.8931276 -2.1368886 123.45723 102 0.0134032 0.0729471
Utility_2 1.0165066 0.3158584 0.9415052 -1.1704696 114.53494 121 0.0000000 0.6480886
Utility_3rc 0.9347521 -0.9837964 0.8936473 -2.0546240 111.32986 96 0.0116776 0.1356840
Utility_4 0.8987338 -1.7410066 0.8785894 -2.2526897 128.46445 99 0.0159424 0.0248519
Utility_5rc 1.3782258 5.6383219 1.0128660 0.2673682 125.83880 109 0.0114859 0.1289980
Utility_6 0.9682190 -0.5777702 0.9456005 -1.0904806 130.19154 114 0.0110132 0.1425248
Utility_7 0.9817641 -0.3558544 0.9509363 -1.0735685 116.08069 119 0.0000000 0.5586237
Utility_8rc 1.0246479 0.4043017 0.9626254 -0.7324305 130.12121 108 0.0132256 0.0724465
Attain_4 0.8787158 -3.0969432 0.8672025 -3.5243977 76.48363 56 0.0176738 0.0358391
Attain_5 0.8340862 -2.6275243 0.8898803 -1.8858899 93.92228 57 0.0235195 0.0015012
Attain_6 0.5271114 -11.5653944 0.5348379 -12.4729606 87.98753 52 0.0243106 0.0013439
Attain_7 0.9502676 -1.5078928 0.9452052 -1.6833969 78.25299 60 0.0161181 0.0568689
Interest_1rc 1.0426400 0.8422140 1.0067271 0.1710960 184.18455 155 0.0126804 0.0546919
Interest_2 0.9307994 -1.2323996 0.9161723 -1.8322180 124.11891 120 0.0054140 0.3798707
Interest_3rc 0.9909853 -0.1237327 0.9473488 -1.1154879 112.86304 112 0.0025652 0.4593582
Interest_4 0.9509119 -0.9623967 0.9351820 -1.4578056 139.53833 132 0.0069835 0.3098566
Interest_5 0.7997963 -1.7978818 0.8472844 -3.2910023 112.13000 101 0.0097008 0.2111116
Interest_6 0.9879636 -0.2115414 0.9529608 -1.0098010 182.97559 126 0.0196508 0.0006921
Interest_7rc 1.4446757 7.5886167 1.1750784 3.8081690 268.30384 147 0.0265461 0.0000000
Interest_8rc 1.2307166 3.8484623 0.9810139 -0.4144565 157.56207 145 0.0086014 0.2247438
Interest_9 0.9620632 -0.7434025 0.9526698 -1.0939677 135.88219 134 0.0034634 0.4383596
item outfit z.outfit infit z.infit S_X2 df.S_X2 RMSEA.S_X2 p.S_X2
AcadSC_1 1.0135368 0.1483109 0.9724579 -0.2364549 102.51773 61 0.0240779 0.0006971
AcadSC_2 0.9422364 -1.0829594 0.9419922 -1.1310974 77.82917 84 0.0000000 0.6687593
AcadSC_3 0.9293060 -1.0687019 0.9498574 -0.7703811 74.24581 72 0.0051545 0.4048978
AcadSC_4 0.9197887 -1.4728625 0.9321519 -1.2918976 80.72873 86 0.0000000 0.6403239
AcadSC_5rc 0.9996524 0.0068842 0.9584833 -1.0370712 106.47552 101 0.0067954 0.3353357
AcadSC_6 0.8905609 -1.5702298 0.9373729 -0.9589105 95.33037 78 0.0137570 0.0886976
AcadSC_7rc 0.8948377 -1.5374508 0.8939398 -1.8452567 73.69678 74 0.0000000 0.4880755
AcadSC_8rc 0.9574289 -1.2357586 0.9596394 -1.1942121 145.52925 109 0.0168956 0.0111361
AcadSC_9rc 0.8272627 -2.0824669 0.9057011 -1.4356420 88.62651 70 0.0150551 0.0657570
Attain_3rc 0.8248491 -3.5129748 0.7991884 -4.5515753 95.09032 70 0.0174731 0.0247303
Attain_4 0.8281921 -3.8941186 0.8294210 -4.0057583 76.35291 70 0.0087923 0.2818165
Attain_5 0.8827762 -1.8759624 0.9153878 -1.4547266 82.84614 71 0.0119213 0.1589242
Attain_6 0.6744555 -7.4512628 0.6936204 -7.6782897 59.95878 66 0.0000000 0.6858984
Attain_7 0.9854552 -0.4671920 0.9822180 -0.5754730 97.31106 86 0.0105845 0.1900709
StatSC_1 0.9469441 -1.0050758 0.9476705 -1.1032146 121.36563 122 0.0000000 0.4991892
StatSC_2 0.7898828 -4.2473277 0.7966599 -4.5179768 100.93881 102 0.0000000 0.5110969
StatSC_3 0.8733246 -2.1641293 0.9367211 -1.1220970 147.51844 118 0.0145973 0.0340915
StatSC_4rc 0.7809108 -3.7154255 0.8108177 -4.3623962 108.43566 100 0.0084767 0.2652186
StatSC_5rc 0.8486758 -2.5504583 0.9121291 -1.7634856 134.04473 116 0.0115110 0.1206897
StatSC_6 0.9352988 -1.2699613 0.9627186 -0.8021607 138.38401 144 0.0000000 0.6163476
StatSC_7rc 0.8968812 -2.2054105 0.8760044 -2.9107588 115.21881 110 0.0063570 0.3478142
StatSC_8rc 0.9031984 -1.9813380 0.9045994 -2.2687630 120.03544 119 0.0027224 0.4561557
StatSC_9rc 0.9056372 -1.8125412 0.9636489 -0.7427572 167.93364 130 0.0157655 0.0140235
Difficult_1rc 0.8909788 -1.9600453 0.8999045 -1.9586193 72.86696 63 0.0115501 0.1852302
Difficult_2 0.9361260 -1.6242493 0.9345141 -1.7123319 87.94482 70 0.0147770 0.0723143
Difficult_3 0.6972075 -6.0852168 0.7280996 -6.6251183 85.76426 53 0.0229471 0.0029304
Difficult_6rc 0.8405605 -3.8083958 0.8579135 -3.5524106 73.00161 61 0.0129456 0.1396281
Difficult_7rc 0.7289974 -4.9178059 0.7621450 -5.1911757 69.47166 54 0.0156220 0.0764665
Expectancy_2 0.9674843 -0.5328715 0.9497781 -0.8692609 78.49411 77 0.0040655 0.4312087
Expectancy_3 0.7855043 -3.6931591 0.8642467 -2.2655340 82.62984 69 0.0129714 0.1255846
Expectancy_4 0.9126287 -1.4695519 0.9364655 -1.0767409 73.22474 76 0.0000000 0.5689218
Expectancy_5 0.9230945 -1.7690663 0.9208989 -1.9118636 85.98018 94 0.0000000 0.7100119
Expectancy_7 0.9860077 -0.2870326 0.9552069 -1.0227744 119.30105 93 0.0155207 0.0344049
Expectancy_8 0.9241643 -1.3000776 0.9138725 -1.5748539 92.46814 83 0.0098573 0.2236424
Expectancy_9 0.9236486 -1.4927916 0.9101846 -1.8772188 102.49405 89 0.0113643 0.1553410
Expectancy_10 0.8902010 -1.7003156 0.9289231 -1.1898517 121.32323 91 0.0168474 0.0184993
Cost_1 0.5941676 -8.3828444 0.6151220 -8.8057106 50.49347 47 0.0079569 0.3371768
Cost_2 0.8301033 -3.3262911 0.8109457 -3.8626571 77.37900 49 0.0222109 0.0059971
Cost_3rc 1.0070825 0.1825691 0.9800951 -0.4812412 76.52744 75 0.0041650 0.4292615
Cost_4rc 0.9612453 -0.8691532 0.9338089 -1.5476998 65.22785 68 0.0000000 0.5728432
Cost_6 0.9054536 -1.9991855 0.9066992 -2.0979594 77.78479 63 0.0141385 0.0994654
item outfit z.outfit infit z.infit S_X2 df.S_X2 RMSEA.S_X2 p.S_X2
Belief_2rc 0.5380197 -12.9008757 0.5125231 -14.4546993 73.30856 54 0.0174743 0.0412696
Belief_4rc 0.9891897 -0.3267163 0.9876377 -0.3764830 93.80026 60 0.0219334 0.0034412
Belief_5rc 0.9952998 -0.1275334 0.9950669 -0.1344265 64.97213 62 0.0063982 0.3735617
Belief_10rc 0.8657171 -4.0312672 0.8688156 -4.0202310 65.28083 57 0.0111384 0.2110809
Attain_1rc 0.9513506 -1.2143176 0.9470148 -1.3518452 79.45097 55 0.0194845 0.0171642
Attain_2rc 0.6114004 -8.2235438 0.6401034 -9.4286699 51.03996 47 0.0085676 0.3178680
Attain_3rc 0.6802487 -6.2181098 0.6969834 -6.6023848 82.90139 47 0.0255404 0.0009574
Attain_4 0.8545637 -3.5226468 0.8623666 -3.4725524 56.40512 52 0.0085055 0.3137271

Now we plot tracelines.

Now we construct Wright Maps for Group 1.

Now we drop Belief 2, 4, 5, and 10.

## [1] "Belief"
## 
Iteration: 1, Log-Lik: -10236.042, Max-Change: 1.89730
Iteration: 2, Log-Lik: -9996.770, Max-Change: 0.67992
Iteration: 3, Log-Lik: -9936.841, Max-Change: 0.24663
Iteration: 4, Log-Lik: -9914.178, Max-Change: 0.14474
Iteration: 5, Log-Lik: -9903.248, Max-Change: 0.13562
Iteration: 6, Log-Lik: -9897.638, Max-Change: 0.10366
Iteration: 7, Log-Lik: -9894.721, Max-Change: 0.08512
Iteration: 8, Log-Lik: -9893.091, Max-Change: 0.05911
Iteration: 9, Log-Lik: -9892.161, Max-Change: 0.02183
Iteration: 10, Log-Lik: -9891.828, Max-Change: 0.02016
Iteration: 11, Log-Lik: -9891.375, Max-Change: 0.01473
Iteration: 12, Log-Lik: -9891.137, Max-Change: 0.01089
Iteration: 13, Log-Lik: -9890.895, Max-Change: 0.00450
Iteration: 14, Log-Lik: -9890.870, Max-Change: 0.00301
Iteration: 15, Log-Lik: -9890.856, Max-Change: 0.00263
Iteration: 16, Log-Lik: -9890.837, Max-Change: 0.00207
Iteration: 17, Log-Lik: -9890.833, Max-Change: 0.00100
Iteration: 18, Log-Lik: -9890.832, Max-Change: 0.00078
Iteration: 19, Log-Lik: -9890.831, Max-Change: 0.00056
Iteration: 20, Log-Lik: -9890.831, Max-Change: 0.00036
Iteration: 21, Log-Lik: -9890.831, Max-Change: 0.00021
Iteration: 22, Log-Lik: -9890.831, Max-Change: 0.00017
Iteration: 23, Log-Lik: -9890.830, Max-Change: 0.00022
Iteration: 24, Log-Lik: -9890.830, Max-Change: 0.00008
## Data does not contain missing values. Continuing normally
## Sample size after row-wise response data removal: 1172
## Data does not contain missing values. Continuing normally
## Sample size after row-wise response data removal: 1172

Group 2 Wright Maps.

Now we drop Attain_7.

## [1] "Attain"
## 
Iteration: 1, Log-Lik: -11774.892, Max-Change: 1.01678
Iteration: 2, Log-Lik: -11640.216, Max-Change: 0.85378
Iteration: 3, Log-Lik: -11602.052, Max-Change: 0.28053
Iteration: 4, Log-Lik: -11583.672, Max-Change: 0.21287
Iteration: 5, Log-Lik: -11576.236, Max-Change: 0.12501
Iteration: 6, Log-Lik: -11573.015, Max-Change: 0.10782
Iteration: 7, Log-Lik: -11570.243, Max-Change: 0.11848
Iteration: 8, Log-Lik: -11569.669, Max-Change: 0.05194
Iteration: 9, Log-Lik: -11569.382, Max-Change: 0.02579
Iteration: 10, Log-Lik: -11569.280, Max-Change: 0.02167
Iteration: 11, Log-Lik: -11569.199, Max-Change: 0.01558
Iteration: 12, Log-Lik: -11569.156, Max-Change: 0.01189
Iteration: 13, Log-Lik: -11569.109, Max-Change: 0.00335
Iteration: 14, Log-Lik: -11569.106, Max-Change: 0.00293
Iteration: 15, Log-Lik: -11569.105, Max-Change: 0.00500
Iteration: 16, Log-Lik: -11569.103, Max-Change: 0.00107
Iteration: 17, Log-Lik: -11569.102, Max-Change: 0.00022
Iteration: 18, Log-Lik: -11569.102, Max-Change: 0.00259
Iteration: 19, Log-Lik: -11569.102, Max-Change: 0.00086
Iteration: 20, Log-Lik: -11569.101, Max-Change: 0.00059
Iteration: 21, Log-Lik: -11569.101, Max-Change: 0.00031
Iteration: 22, Log-Lik: -11569.101, Max-Change: 0.00016
Iteration: 23, Log-Lik: -11569.101, Max-Change: 0.00055
Iteration: 24, Log-Lik: -11569.101, Max-Change: 0.00016
Iteration: 25, Log-Lik: -11569.101, Max-Change: 0.00011
Iteration: 26, Log-Lik: -11569.101, Max-Change: 0.00273
Iteration: 27, Log-Lik: -11569.101, Max-Change: 0.00039
Iteration: 28, Log-Lik: -11569.101, Max-Change: 0.00044
Iteration: 29, Log-Lik: -11569.101, Max-Change: 0.00009
## Data does not contain missing values. Continuing normally
## Sample size after row-wise response data removal: 1175
## Data does not contain missing values. Continuing normally
## Sample size after row-wise response data removal: 1175

Now we print tables of the Thurstonian Thresholds for the full IRT (without dropping any items).

##            Item    thur.b1    thur.b2      thur.b3     thur.b4     thur.b5
## 1      Belief_1 -2.5658771 -1.7590043 -1.266515385 -0.54101821  0.63155328
## 2    Belief_3rc -3.3021751 -2.4281971 -1.599055548 -1.02319017 -0.17425484
## 3      Belief_6 -2.9654232 -2.3309469 -1.800363005 -0.94369697  0.17009876
## 4      Belief_7 -3.3495683 -2.5372322 -2.050024353 -1.25220652 -0.27675759
## 5      Belief_8 -4.6370259 -3.7713983 -3.077528670 -2.17114017 -0.64154040
## 6      Belief_9 -2.7467633 -2.1137429 -1.662337413 -0.73415668  0.20991349
## 7   Intrinsic_1 -1.7930618 -1.1684843 -0.684660432 -0.11161104  0.73822854
## 8   Intrinsic_2 -2.2674681 -1.5043921 -1.028912471 -0.40871089  0.48211393
## 9   Intrinsic_3 -2.2570415 -1.4328364 -0.999739969 -0.27353717  0.61969758
## 10  Intrinsic_4 -2.1965583 -1.3686050 -0.870833903 -0.22792491  0.65526981
## 11  Intrinsic_5 -1.9999854 -1.2408798 -0.697240977 -0.00155098  0.92148049
## 12  Intrinsic_6 -1.4299482 -0.6034344 -0.084506850  0.54895758  1.36288038
## 13  Intrinsic_7 -2.3474732 -1.5375804 -1.085128232 -0.49696717  0.48538390
## 14  Extrinsic_1 -2.6982921 -1.7537461 -1.219030427 -0.58196013  0.46676887
## 15  Extrinsic_4 -2.2953042 -1.4260430 -0.895308255 -0.17694190  0.80507436
## 16  Extrinsic_5 -2.3207322 -1.4886624 -0.977598621 -0.36835122  0.54205087
## 17  Extrinsic_6 -1.9702883 -0.4920995  0.197113782  1.23150952  2.53882700
## 18  Extrinsic_7 -1.8183338  0.1952663  0.871315347  1.91338848  3.20070041
## 19  Extrinsic_8 -1.1520435  1.4297597  2.507406050  4.38257468  5.86264303
## 20    Utility_1 -2.2027968 -1.5541560 -1.139996385 -0.47745583  0.40346418
## 21    Utility_2 -2.9908434 -2.1375930 -1.530071537 -0.77898152  0.30900902
## 22  Utility_3rc -2.3826766 -1.9543346 -1.277472410 -0.68403816 -0.01051945
## 23    Utility_4 -2.6299883 -1.9427464 -1.488430014 -0.78476091  0.39559462
## 24  Utility_5rc -2.2929583 -1.6951772 -1.181082047 -0.57112115  0.17467872
## 25    Utility_6 -3.0254259 -2.0687187 -1.499479298 -0.66780478  0.50881135
## 26    Utility_7 -2.6245952 -1.6517254 -1.130619582 -0.22813003  0.92768852
## 27  Utility_8rc -3.1035632 -2.5022090 -1.770424385 -0.84750631 -0.23430892
## 28     Attain_5 -3.8573717 -3.0982139 -2.469779919 -1.76873341 -0.60630674
## 29     Attain_6 -1.8889477 -1.1278904 -0.721389748 -0.12650827  0.73816203
## 30     Attain_7 -3.6707922 -1.4411719 -0.441392413  0.65791952  2.34779903
## 31 Interest_1rc -1.3575360 -0.5388929  0.405679420  0.87784509  1.44833747
## 32   Interest_2 -1.5058684 -0.7560444 -0.264335579  0.28664540  1.03406725
## 33 Interest_3rc -1.3124386 -0.5711358  0.125753918  0.58115965  1.16910984
## 34   Interest_4 -1.6852040 -0.8137847 -0.340953876  0.28855395  1.14496813
## 35   Interest_5 -0.9246366 -0.2841907  0.198197794  0.74692566  1.45353893
## 36   Interest_6 -1.7512047 -0.9622286 -0.456032149  0.06946371  1.00459833
## 37 Interest_7rc -1.4283871 -0.5706606  0.163745794  0.71133770  1.36495502
## 38 Interest_8rc -1.3669907 -0.7974456 -0.200851529  0.38001169  0.83301209
## 39   Interest_9 -1.4587080 -0.5384727 -0.009001622  0.72462548  1.55905177
##      thur.b6
## 1  2.0030669
## 2  1.2924869
## 3  1.5229117
## 4  1.1077984
## 5  1.2963095
## 6  1.5997355
## 7  1.8831100
## 8  1.6789959
## 9  1.7938769
## 10 1.8836178
## 11 2.1677658
## 12 2.4188763
## 13 1.7355342
## 14 1.7618592
## 15 2.0507009
## 16 1.5961227
## 17 4.3009686
## 18 4.9346944
## 19 7.5307426
## 20 1.5384891
## 21 1.7614740
## 22 1.0769370
## 23 1.7590945
## 24 1.3517284
## 25 2.0315166
## 26 2.4124099
## 27 0.8463854
## 28 1.0404742
## 29 1.7505387
## 30 4.2109482
## 31 2.6514122
## 32 1.9726461
## 33 2.0879580
## 34 2.1575654
## 35 2.3110526
## 36 2.0616872
## 37 2.3695542
## 38 1.8440287
## 39 2.7496425
##             Item   thur.b1    thur.b2     thur.b3     thur.b4     thur.b5
## 1       AcadSC_1 -6.868874 -5.5667603 -4.91838786 -3.97304408 -2.90554402
## 2       AcadSC_2 -4.187392 -3.0394674 -1.98004249 -1.21944517  0.23448040
## 3       AcadSC_3 -4.431019 -3.3995194 -2.55701260 -1.89349207 -0.59856088
## 4       AcadSC_4 -3.980458 -3.0778043 -2.11879598 -1.19452879  0.08112571
## 5     AcadSC_5rc -3.466523 -2.1637710 -0.97082500 -0.40832689  0.45790244
## 6       AcadSC_6 -5.199197 -4.3425277 -3.31209012 -2.30908186 -1.15812124
## 7     AcadSC_7rc -2.955267 -2.4067372 -1.70124173 -1.15501850 -0.40551770
## 8     AcadSC_8rc -3.615423 -1.8431420 -0.18473196  0.47537041  1.66984943
## 9     AcadSC_9rc -3.255408 -2.7874386 -2.10231052 -1.54207977 -0.80964347
## 10    Attain_3rc -2.803979 -2.1288376 -1.29938271 -0.60193974  0.12932407
## 11      Attain_4 -2.740938 -1.7406733 -1.18233111 -0.06136894  0.97802501
## 12      Attain_5 -5.374913 -3.7622888 -3.02392913 -2.12510384 -0.80223388
## 13      Attain_6 -2.140406 -1.2744669 -0.79993947 -0.17165102  0.66059945
## 14      Attain_7 -6.762962 -2.4611750 -0.90579505  0.78975153  3.50199541
## 15      StatSC_1 -3.147248 -1.9863027 -1.22180976 -0.60334191  0.78669572
## 16      StatSC_2 -1.899537 -1.2176339 -0.63165085  0.08450225  1.07747400
## 17      StatSC_3 -5.152399 -3.4577901 -2.57286247 -1.82668687 -0.36765311
## 18    StatSC_4rc -1.512790 -0.8647754 -0.16405718  0.18896708  0.82342691
## 19    StatSC_5rc -2.642763 -2.0361271 -1.31601081 -0.69078211 -0.06367886
## 20      StatSC_6 -3.490907 -2.4087937 -1.61869277 -0.87681487  0.21547456
## 21    StatSC_7rc -2.111235 -1.3209732 -0.34794658  0.14994355  1.01674907
## 22    StatSC_8rc -1.593015 -0.5044445  0.39862681  0.86408295  1.54100835
## 23    StatSC_9rc -4.276312 -3.2833114 -1.91782257 -1.14897684 -0.04617113
## 24 Difficult_1rc -1.214422  0.1214875  1.31527299  2.01560939  2.81519631
## 25   Difficult_2 -2.881075 -1.5578485 -0.32211561  0.37440515  1.77697065
## 26   Difficult_3 -1.222122 -0.4194637  0.21936571  0.76740539  1.71885828
## 27 Difficult_6rc -2.441866 -1.2022296 -0.08059242  0.52931387  1.33142394
## 28 Difficult_7rc -1.148926 -0.1446473  0.71706569  1.12227028  1.75121973
## 29  Expectancy_2 -3.435214 -2.4786212 -1.76034507 -1.00140512  0.46220849
## 30  Expectancy_3 -3.593768 -2.6549370 -2.20299723 -1.36379143 -0.14977758
## 31  Expectancy_4 -3.869385 -2.9824659 -2.07195299 -1.43860667  0.04364822
## 32  Expectancy_5 -3.484202 -1.9305818 -1.00343610 -0.18925096  1.27837523
## 33  Expectancy_7 -3.302408 -2.1510744 -1.33587072 -0.38223478  0.96381114
## 34  Expectancy_8 -3.483295 -2.5046345 -1.77635043 -1.09208764  0.23278906
## 35  Expectancy_9 -3.227405 -2.2571611 -1.34253549 -0.57766240  0.87772658
## 36 Expectancy_10 -5.256579 -4.1793493 -3.21327144 -2.29208306 -0.85906883
## 37        Cost_1 -1.906663 -1.4078860 -0.82607443 -0.14804592  0.59444631
## 38        Cost_2 -2.644120 -1.9264084 -1.28872068 -0.58195834  0.35128627
## 39      Cost_3rc -2.377973 -0.6732168  0.65702980  1.88461371  2.96865899
## 40      Cost_4rc -2.085668 -1.1780827 -0.35996723  0.62837481  1.34852327
## 41        Cost_6 -2.001909 -1.2061949 -0.58899774  0.13575510  1.01171494
##       thur.b6
## 1  -0.9777819
## 2   1.7698102
## 3   1.2616252
## 4   1.7085889
## 5   2.1595832
## 6   0.7197553
## 7   0.9563711
## 8   3.8637218
## 9   0.5684665
## 10  1.5946149
## 11  2.4671569
## 12  1.0457033
## 13  1.8628740
## 14  6.8095491
## 15  2.6440093
## 16  2.5016405
## 17  1.4487933
## 18  2.0648395
## 19  1.2351389
## 20  1.8050558
## 21  2.5578580
## 22  2.9335077
## 23  1.9959757
## 24  4.2194624
## 25  3.6984963
## 26  2.8178412
## 27  2.7683832
## 28  2.7069771
## 29  2.2539672
## 30  1.4468737
## 31  1.7159257
## 32  2.9245790
## 33  2.7947699
## 34  1.9137034
## 35  2.6275064
## 36  0.7748416
## 37  1.6790764
## 38  1.5633697
## 39  5.3585900
## 40  2.6251881
## 41  2.2126824

Now we print the coefficients.

##                     a1        d1         d2          d3           d4         d5
## Belief_1     1.9253035 4.9400920  3.3866171  2.43842645  1.041624227 -1.2159317
## Belief_3rc   1.5389664 5.0819366  3.7369138  2.46089276  1.574655294  0.2681723
## Belief_6     2.0732219 6.1479803  4.8325703  3.73255204  1.956493236 -0.3526525
## Belief_7     2.0269016 6.7892453  5.1427198  4.15519757  2.538099348  0.5609604
## Belief_8     1.2813343 5.9415805  4.8324222  3.94334318  2.781956467  0.8220277
## Belief_9     2.0324786 5.5827375  4.2961370  3.37866516  1.492157709 -0.4266447
## Intrinsic_1  2.4529986 4.3983781  2.8662903  1.67947107  0.273781718 -1.8108736
## Intrinsic_2  1.9585800 4.4410176  2.9464722  2.01520737  0.800492977 -0.9442587
## Intrinsic_3  2.5811649 5.8257962  3.6983871  2.58049369  0.706044544 -1.5995416
## Intrinsic_4  2.3674229 5.2001824  3.2400667  2.06163210  0.539594638 -1.5513007
## Intrinsic_5  2.3253321 4.6506303  2.8854577  1.62131682  0.003606543 -2.1427481
## Intrinsic_6  2.1156681 3.0252958  1.2766669  0.17878844 -1.161412030 -2.8834025
## Intrinsic_7  2.1665513 5.0859211  3.3312469  2.35098600  1.076704871 -1.0516091
## Extrinsic_1  1.8677269 5.0396727  3.2755186  2.27681589  1.086942578 -0.8717968
## Extrinsic_4  2.1467938 4.9275449  3.0614204  1.92204224  0.379857781 -1.7283287
## Extrinsic_5  2.5661552 5.9553590  3.8201389  2.50866980  0.945246395 -1.3909867
## Extrinsic_6  1.1101699 2.1873548  0.5463140 -0.21882979 -1.367184824 -2.8185294
## Extrinsic_7  0.7536383 1.3703660 -0.1471602 -0.65665662 -1.442002847 -2.4121704
## Extrinsic_8  0.5978452 0.6887436 -0.8547749 -1.49904055 -2.620101025 -3.5049527
## Utility_1    2.4030272 5.2933806  3.7346793  2.73944236  1.147339354 -0.9695354
## Utility_2    1.5667672 4.6859553  3.3491105  2.39726589  1.220482692 -0.4841452
## Utility_3rc  2.5427461 6.0585416  4.9693766  3.24828803  1.739335396  0.0267483
## Utility_4    2.0661300 5.4338979  4.0139667  3.07528996  1.621418086 -0.8173499
## Utility_5rc  2.2359537 5.1269486  3.7903377  2.64084472  1.277000428 -0.3905735
## Utility_6    1.5903880 4.8116011  3.2900655  2.38475390  1.062068711 -0.8092075
## Utility_7    1.5772154 4.1395519  2.6051267  1.78323060  0.359810200 -1.4631646
## Utility_8rc  1.7487403 5.4273260  4.3757137  3.09601243  1.482068421  0.4097455
## Attain_5     1.1714942 4.5188886  3.6295397  2.89333288  2.072060944  0.7102848
## Attain_6     2.1900968 4.1369784  2.4701892  1.57991341  0.277065353 -1.6166463
## Attain_7     0.7236812 2.6564834  1.0429490  0.31942741 -0.476124009 -1.6990581
## Interest_1rc 1.7522446 2.3787351  0.9442722 -0.71084959 -1.538199361 -2.5378416
## Interest_2   2.8062974 4.2259146  2.1216853  0.74180424 -0.804412222 -2.9019002
## Interest_3rc 3.0437762 3.9947694  1.7384096 -0.38276678 -1.768919912 -3.5585087
## Interest_4   2.3171245 3.9048273  1.8856403  0.79003257 -0.668615423 -2.6530337
## Interest_5   3.5817560 3.3118228  1.0179019 -0.70989615 -2.675305497 -5.2062218
## Interest_6   2.4937838 4.3671260  2.3995902  1.13724560 -0.173227471 -2.5052511
## Interest_7rc 2.0128734 2.8751624  1.1486674 -0.32959955 -1.431832733 -2.7474817
## Interest_8rc 2.3040071 3.1495562  1.8373203  0.46276335 -0.875549626 -1.9192658
## Interest_9   2.0619484 3.0077805  1.1103028  0.01856088 -1.494140313 -3.2146842
##                     d6
## Belief_1     -3.856512
## Belief_3rc   -1.989094
## Belief_6     -3.157334
## Belief_7     -2.245398
## Belief_8     -1.661006
## Belief_9     -3.251428
## Intrinsic_1  -4.619266
## Intrinsic_2  -3.288448
## Intrinsic_3  -4.630292
## Intrinsic_4  -4.459320
## Intrinsic_5  -5.040775
## Intrinsic_6  -5.117539
## Intrinsic_7  -3.760124
## Extrinsic_1  -3.290672
## Extrinsic_4  -4.402432
## Extrinsic_5  -4.095899
## Extrinsic_6  -4.774806
## Extrinsic_7  -3.718975
## Extrinsic_8  -4.502218
## Utility_1    -3.697031
## Utility_2    -2.759820
## Utility_3rc  -2.738377
## Utility_4    -3.634518
## Utility_5rc  -3.022402
## Utility_6    -3.230900
## Utility_7    -3.804890
## Utility_8rc  -1.480108
## Attain_5     -1.218909
## Attain_6     -3.833849
## Attain_7     -3.047384
## Interest_1rc -4.645923
## Interest_2   -5.535832
## Interest_3rc -6.355277
## Interest_4   -4.999348
## Interest_5   -8.277627
## Interest_6   -5.141402
## Interest_7rc -4.769613
## Interest_8rc -4.248655
## Interest_9   -5.669621
##                      a1       d1         d2         d3          d4          d5
## AcadSC_1      0.9327354 6.406842  5.1923145  4.5875545  3.70579892  2.71010381
## AcadSC_2      1.4498134 6.070938  4.4066606  2.8706922  1.76796801 -0.33995283
## AcadSC_3      1.6139382 7.151392  5.4866143  4.1268603  3.05597918  0.96604026
## AcadSC_4      1.4307153 5.694903  4.4034618  3.0313939  1.70903067 -0.11606780
## AcadSC_5rc    1.3710745 4.752861  2.9666913  1.3310734  0.55984659 -0.62781836
## AcadSC_6      1.2271753 6.380326  5.3290428  4.0645153  2.83364828  1.42121781
## AcadSC_7rc    2.4653915 7.285891  5.9335495  4.1942270  2.84757283  0.99975990
## AcadSC_8rc    0.8626157 3.118721  1.5899233  0.1593527 -0.41006199 -1.44043837
## AcadSC_9rc    2.2631641 7.367522  6.3084310  4.7578738  3.48997966  1.83235608
## Attain_3rc    1.6630726 4.663220  3.5404115  2.1609677  1.00106947 -0.21507532
## Attain_4      1.4945447 4.096455  2.6015141  1.7670467  0.09171863 -1.46170210
## Attain_5      1.0231909 5.499562  3.8495395  3.0940566  2.17438682  0.82083837
## Attain_6      2.0278721 4.340469  2.5844559  1.6221749  0.34808630 -1.33961118
## Attain_7      0.4441940 3.004067  1.0932392  0.4023487 -0.35080290 -1.55556538
## StatSC_1      1.5864720 4.993021  3.1512138  1.9383670  0.95718507 -1.24807077
## StatSC_2      2.6617187 5.056034  3.2409989  1.6812769 -0.22492123 -2.86793268
## StatSC_3      1.2567794 6.475429  4.3456794  3.2335206  2.29574248  0.46205887
## StatSC_4rc    2.8804994 4.357590  2.4909850  0.4725666 -0.54431954 -2.37188072
## StatSC_5rc    2.1061126 5.565955  4.2883128  2.7716669  1.45486487  0.13411484
## StatSC_6      1.2342336 4.308594  2.9730140  1.9978449  1.08219433 -0.26594593
## StatSC_7rc    2.2386327 4.726280  2.9571738  0.7789246 -0.33566853 -2.27612771
## StatSC_8rc    1.7994247 2.866511  0.9077098 -0.7172989 -1.55485220 -2.77292848
## StatSC_9rc    1.1979285 5.122717  3.9331723  2.2974143  1.37639210  0.05530972
## Difficult_1rc 1.5772565 1.915455 -0.1916170 -2.0745228 -3.17913294 -4.44028658
## Difficult_2   1.2495426 3.600026  1.9465981  0.4024972 -0.46783518 -2.22040054
## Difficult_3   2.5884184 3.163362  1.0857475 -0.5678102 -1.98636619 -4.44912433
## Difficult_6rc 1.8235849 4.452950  2.1923678  0.1469671 -0.96524878 -2.42796459
## Difficult_7rc 2.5313794 2.908367  0.3661572 -1.8151653 -2.84089191 -4.43300159
## Expectancy_2  1.8626684 6.398664  4.6168492  3.2789391  1.86528563 -0.86094112
## Expectancy_3  2.1225974 7.628122  5.6353624  4.6760761  2.89478011  0.31791749
## Expectancy_4  1.7212294 6.660100  5.1335081  3.5663064  2.47617212 -0.07512859
## Expectancy_5  1.3492331 4.701000  2.6048049  1.3538692  0.25534367 -1.72482619
## Expectancy_7  1.1946574 3.945246  2.5697970  1.5959078  0.45663961 -1.15142412
## Expectancy_8  1.6838797 5.865451  4.2175032  2.9911605  1.83894421 -0.39198878
## Expectancy_9  1.5346904 4.953068  3.4640434  2.0603764  0.88653296 -1.34703858
## Expectancy_10 1.0255559 5.390915  4.2861562  3.2953894  2.35065923  0.88102309
## Cost_1        3.8835484 7.404616  5.4675936  3.2081000  0.57494351 -2.30856103
## Cost_2        2.7238615 7.202218  5.2472696  3.5102966  1.58517389 -0.95685515
## Cost_3rc      0.9505766 2.260445  0.6399442 -0.6245571 -1.79146966 -2.82193772
## Cost_4rc      1.7480508 3.645854  2.0593484  0.6292410 -1.09843111 -2.35728723
## Cost_6        2.2274619 4.459176  2.6867533  1.3119700 -0.30238931 -2.25355650
##                       d6
## AcadSC_1       0.9120118
## AcadSC_2      -2.5658946
## AcadSC_3      -2.0361851
## AcadSC_4      -2.4445043
## AcadSC_5rc    -2.9609495
## AcadSC_6      -0.8832660
## AcadSC_7rc    -2.3578292
## AcadSC_8rc    -3.3329072
## AcadSC_9rc    -1.2865330
## Attain_3rc    -2.6519603
## Attain_4      -3.6872762
## Attain_5      -1.0699541
## Attain_6      -3.7776702
## Attain_7      -3.0247609
## StatSC_1      -4.1946469
## StatSC_2      -6.6586633
## StatSC_3      -1.8208136
## StatSC_4rc    -5.9477689
## StatSC_5rc    -2.6013415
## StatSC_6      -2.2278605
## StatSC_7rc    -5.7261046
## StatSC_8rc    -5.2786263
## StatSC_9rc    -2.3910361
## Difficult_1rc -6.6551744
## Difficult_2   -4.6214287
## Difficult_3   -7.2937518
## Difficult_6rc -5.0483818
## Difficult_7rc -6.8523861
## Expectancy_2  -4.1983934
## Expectancy_3  -3.0711302
## Expectancy_4  -2.9535018
## Expectancy_5  -3.9459388
## Expectancy_7  -3.3387926
## Expectancy_8  -3.2224464
## Expectancy_9  -4.0324089
## Expectancy_10 -0.7946433
## Cost_1        -6.5207743
## Cost_2        -4.2584025
## Cost_3rc      -5.0937502
## Cost_4rc      -4.5889623
## Cost_6        -4.9286657